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In tight gas formations where the low matrix permeability prevents successful and economic production rates, hydraulic fracturing is required to produce a well at economic rates. As production from the well and its initial fracture declines, re-fracturing treatments are required to accelerate recovery. The orientation of the following hydraulic fracture depends on the actual stress-state of the formation. The stress alters during depletion and a stress reversal region appears. This behavior causes a different fracture orientation of the re-fracture. COMSOL Multiphysics is used to investigate the re-fracture orientation in a two-dimensional reservoir model. The model represents a fractured vertical well in a reservoir of infinite thickness. Different cases with anisotropic and heterogeneous permeability are set up to determine its significance.